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12411132312 = 2334312026291
BaseRepresentation
bin10111000111100001…
…01101100110011000
31012000221201211212010
423203300231212120
5200404222213222
65411313345520
7616362612135
oct134360554630
935027654763
1012411132312
115299840447
1224a45682a0
13122a3a3197
1485a47d58c
154c98d280c
hex2e3c2d998

12411132312 has 32 divisors (see below), whose sum is σ = 31749410880. Its totient is φ = 4040833440.

The previous prime is 12411132289. The next prime is 12411132313. The reversal of 12411132312 is 21323111421.

12411132312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12411132313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6012114 + ... + 6014177.

It is an arithmetic number, because the mean of its divisors is an integer number (992169090).

Almost surely, 212411132312 is an apocalyptic number.

12411132312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12411132312 is an abundant number, since it is smaller than the sum of its proper divisors (19338278568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12411132312 is a wasteful number, since it uses less digits than its factorization.

12411132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12026343 (or 12026339 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 12411132312 its reverse (21323111421), we get a palindrome (33734243733).

The spelling of 12411132312 in words is "twelve billion, four hundred eleven million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 12026291 24052582 36078873 48105164 72157746 96210328 144315492 288630984 517130513 1034261026 1551391539 2068522052 3102783078 4137044104 6205566156 12411132312